Question 1159407: I have in my pocket 25 coins made up of nickels and dimes. The total of these coins is $1.60. How many of
each do I have? Answer by ikleyn(52788) (Show Source):
Let the number of dimes be " d ".
Then the number of nickels is (25-d), correct ?
The money equation is
10d + 5*(25-d) = 160 cents, correct ?
Simplify this equation step by step and find d.
10d + 125 - 5d = 160
5d = 160 - 125 = 35
d = 35/5 = 7.
ANSWER. 7 dimes and the rest coins, 25-7 = 18 are nickels.
CHECK. 7*10 + 18*5 = 70 + 90 = 160 cents. ! Precisely correct !
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